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Question
Solve the following inequalities in the given universal set:
3x - 5 > x + 7: x ∈ N
Solution
We have
3x - 5 > x + 7
⇒ 3x - x > 7 + 5
⇒ 2x > 12
⇒ x > 6
As x ∈ N, x can take values 7, 8, 9, 10, ......
This set is drawn on the number line as follow.
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